The multiplicative inverse of a number is any number that will multiply by it to make zero. Here, the multiplicative inverse of -6 is -(1/6), or negative one sixth.
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An inverse, without any qualification, is taken to be the multiplicative inverse. is The inverse of a number, x (x not 0), is 1 divided by x. Any number multiplied by its inverse must be equal to 1. There is also an additive inverse. For any number y, the additive inverse is -y. And the sum of the two must always be 0.
The inverse if cosine 0.55 is 0.55
Always, unless the original number is zero. This does not have an inverse.
The answer will depend on what you mean by "opposite": the additive inverse or the multiplicative inverse.
Multiplying.